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Finding the Fourth Proportional to 12,875.76, 17,767.08 and 7,210.08

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Solution

The fourth proportional to 12,875.76, 17,767.08 and 7,210.08 is: 9,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.76 : 17,767.08 = 7,210.08 : x
  2. Step 2: Convert to fraction form
    12,875.76/17,767.08 = 7,210.08/x
  3. Step 3: Cross multiply
    12,875.76x = 17,767.08 × 7,210.08
  4. Step 4: Simplify right side
    12,875.76x = 128,102,068.17
  5. Step 5: Solve for x
    x = 128,102,068.17/12,875.76
  6. Step 6: Final answer
    x = 9,949.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.